結果

問題 No.1661 Sum is Prime (Hard Version)
コンテスト
ユーザー kotatsugame
提出日時 2021-08-27 21:38:29
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 2,293 bytes
コンパイル時間 596 ms
コンパイル使用メモリ 57,700 KB
最終ジャッジ日時 2025-03-23 12:33:39
合計ジャッジ時間 1,290 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
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コンパイルメッセージ
main.cpp:4:1: error: ‘uint64_t’ does not name a type
    4 | uint64_t kth_root_integer(uint64_t a, int k) {
      | ^~~~~~~~
main.cpp:3:1: note: ‘uint64_t’ is defined in header ‘<cstdint>’; did you forget to ‘#include <cstdint>’?
    2 | #include<vector>
  +++ |+#include <cstdint>
    3 | using namespace std;
main.cpp: In member function ‘int64_t PrimeCount<LIM>::p2(int64_t, int64_t)’:
main.cpp:41:20: error: there are no arguments to ‘kth_root_integer’ that depend on a template parameter, so a declaration of ‘kth_root_integer’ must be available [-fpermissive]
   41 |     int64_t b = pi(kth_root_integer(x, 2));
      |                    ^~~~~~~~~~~~~~~~
main.cpp:41:20: note: (if you use ‘-fpermissive’, G++ will accept your code, but allowing the use of an undeclared name is deprecated)
main.cpp: In member function ‘int64_t PrimeCount<LIM>::phi(int64_t, int64_t)’:
main.cpp:54:23: error: there are no arguments to ‘kth_root_integer’ that depend on a template parameter, so a declaration of ‘kth_root_integer’ must be available [-fpermissive]
   54 |       int64_t sx = pi(kth_root_integer(m, 2));
      |                       ^~~~~~~~~~~~~~~~
main.cpp: In constructor ‘PrimeCount<LIM>::PrimeCount()’:
main.cpp:64:21: error: there are no arguments to ‘kth_root_integer’ that depend on a template parameter, so a declaration of ‘kth_root_integer’ must be available [-fpermissive]
   64 |   PrimeCount() : sq(kth_root_integer(LIM, 2)), prime_sum(sq + 1) {
      |                     ^~~~~~~~~~~~~~~~
main.cpp: In member function ‘int64_t PrimeCount<LIM>::pi(int64_t)’:
main.cpp:73:17: error: there are no arguments to ‘kth_root_integer’ that depend on a template parameter, so a declaration of ‘kth_root_integer’ must be available [-fpermissive]
   73 |     int64_t m = kth_root_integer(n, 3);
      |                 ^~~~~~~~~~~~~~~~
main.cpp: At global scope:
main.cpp:79:1: warning: ISO C++ forbids declaration of ‘ma

ソースコード

diff # 

#include<iostream>
#include<vector>
using namespace std;
uint64_t kth_root_integer(uint64_t a, int k) {
  if(k == 1) return a;
  auto check = [&](uint32_t x) {
    uint64_t mul = 1;
    for(int j = 0; j < k; j++) {
      if(__builtin_mul_overflow(mul, x, &mul)) return false;
    }
    return mul <= a;
  };
  uint64_t ret = 0;
  for(int i = 31; i >= 0; i--) {
    if(check(ret | (1u << i))) ret |= 1u << i;
  }
  return ret;
}
vector< bool > prime_table(int n) {
  vector< bool > prime(n + 1, true);
  if(n >= 0) prime[0] = false;
  if(n >= 1) prime[1] = false;
  for(int i = 2; i * i <= n; i++) {
    if(!prime[i]) continue;
    for(int j = i * i; j <= n; j += i) {
      prime[j] = false;
    }
  }
  return prime;
}
template< int64_t LIM = 100000000000LL >
struct PrimeCount {
private:
  int64_t sq;
  vector< bool > prime;
  vector< int64_t > prime_sum, primes;

  int64_t p2(int64_t x, int64_t y) {
    if(x < 4) return 0;
    int64_t a = pi(y);
    int64_t b = pi(kth_root_integer(x, 2));
    if(a >= b) return 0;
    int64_t sum = (a - 2) * (a + 1) / 2 - (b - 2) * (b + 1) / 2;
    for(int64_t i = a; i < b; i++) sum += pi(x / primes[i]);
    return sum;
  }

  int64_t phi(int64_t m, int64_t n) {
    if(m < 1) return 0;
    if(n > m) return 1;
    if(n < 1) return m;
    if(m <= primes[n - 1] * primes[n - 1]) return pi(m) - n + 1;
    if(m <= primes[n - 1] * primes[n - 1] * primes[n - 1] && m <= sq) {
      int64_t sx = pi(kth_root_integer(m, 2));
      int64_t ans = pi(m) - (sx + n - 2) * (sx - n + 1) / 2;
      for(int64_t i = n; i < sx; ++i) ans += pi(m / primes[i]);
      return ans;
    }
    return phi(m, n - 1) - phi(m / primes[n - 1], n - 1);
  }

public:

  PrimeCount() : sq(kth_root_integer(LIM, 2)), prime_sum(sq + 1) {
    prime = prime_table(sq);
    for(int i = 1; i <= sq; i++) prime_sum[i] = prime_sum[i - 1] + prime[i];
    primes.reserve(prime_sum[sq]);
    for(int i = 1; i <= sq; i++) if(prime[i]) primes.push_back(i);
  }

  int64_t pi(int64_t n) {
    if(n <= sq) return prime_sum[n];
    int64_t m = kth_root_integer(n, 3);
    int64_t a = pi(m);
    return phi(n, a) + a - 1 - p2(n, m);
  }
};
long L,R;
main()
{
	PrimeCount<>Q;
	cin>>L>>R;
	long ans=Q.pi(R)-Q.pi(L-1);
	ans+=Q.pi(2*R-1);
	ans-=Q.pi(2*L-1);
	if(L==1&&R>=2)ans--;
	cout<<ans<<endl;
}
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